Question

WILL GIVE 10 POINTS!!!

Elliot wrote a computer program that randomly generates a number from 2 to 10. If he runs the program twice, what is the probability that the number generated both times is a prime number?

2/15

1/6

16/81

9/20

Answer 1

There are 4 primes from 2 to 10, and 9 total results. So, he has a 4/9 chance for the first time, and a 4/9 chance for the second time. Multiplying will get you 16/81.

Answer 2

Answer:

16/81

Step-by-step explanation:

The program generates numbers from 2 to 10; this is 9 total possible values (2, 3, 4, 5, 6, 7, 8, 9, 10).

Out of these, there are 4 prime numbers:  2, 3, 5, 7

The probability of choosing a prime number once is 4/9.

The probability of choosing a prime number the second time is 4/9.

Together, the total probability is 4/9(4/9) = 16/81.